On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives

On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives

The methods for constructing solutions to integro-differential equations of the Volterra type are considered. The equations are related to fractional conformable derivatives. Explicit solutions of homogeneous and inhomogeneous equations are constructed, and a Cauchy-type problem is studied. It shoul...

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Bibliographic Details
Main Authors: Batirkhan Kh. Turmetov, Kairat I. Usmanov, Kulzina Zh. Nazarova
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Fractal and Fractional
Subjects:
integro-differential equation
fractional derivatives
fractional conformable derivatives
normalized systems method
explit solutions
Mittag–Leffler funtions
Online Access:https://www.mdpi.com/2504-3110/5/3/109

Internet

https://www.mdpi.com/2504-3110/5/3/109

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